Black brane - Alchetron, The Free Social Encyclopedia

In general relativity, a black brane is a solution of the equations that generalizes a black hole solution but it is also extended—and translationally symmetric—in p additional spatial dimensions. That type of solution would be called a black p-brane. (http://ncatlab.org/nlab/show/black+brane)

In string theory, the solutions labeled as black branes provide us with an alternative description of the same objects called p-branes. Other descriptions of the same objects include D-branes. Some approximations of black branes might lead to entropy consistent with energy, from E=mc².

The metric for a black p-brane in a n-dimensional space-time is:

d s 2 = ( η a b + r s n − p − 3 r n − p − 3 u a u b ) d σ a d σ b + ( 1 − r s n − p − 3 r n − p − 3 ) − 1 d r 2 + r 2 d Ω n − p − 2 2

where:

η is the (p+1)-Minkowski metric with signature (-,+,+,+,...),

σ are the coordinates for the worldsheet of the black p-brane,

u is its four-velocity,

r is the radial coordinate and,

Ω is the metric for a (n-p-2)-sphere, surrounding the brane.

References

Black brane Wikipedia

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